摘要
研究基于R0-蕴涵伴随对的重心法模糊系统及其概率表示理论。首先,将一组输入输出数据转换成模糊推理规则,通过选择R0-蕴涵的伴随对做为模糊蕴涵算子生成模糊关系,再利用重心法解模糊化方法求出某二维随机变量的联合概率密度函数和重心法模糊系统。其次,研究了如此得到概率分布的数学期望、方差和协方差等数字特征。最后给出了所构造的模糊系统具有泛逼近性的充分条件。
In this paper,the center of gravity fuzzy system and its probability representation theory is studied.Firstly,a set of input-output data is transferred into fuzzy inference rules,then the joint probability density function for some binary random variable and the center of gravity fuzzy system are derived by choosing associate pair of R0-implication as fuzzy implication operator.Secondly,the numerical characteristics such as mathematical expections,variances and covariances are obtained.Finally,the sufficient conditions of universal approximations for the fuzzy system is given.
出处
《沈阳师范大学学报（自然科学版）》
CAS
2010年第2期173-175,共3页
Journal of Shenyang Normal University:Natural Science Edition
基金
辽宁省教育厅高等学校科学研究项目(A990311007)
关键词
模糊系统
概率密度
数字特征
泛逼近性
Fuzzy systems
probability density
numerical characteristics
universal approximations
